Explicit additive decomposition of norms on ℝ 2
Document Type
Article
Publication Date
2016
Department
Department of Mathematical Sciences
Abstract
A well-known result by Lindenstrauss is that any two-dimensional normed space can be isometrically imbedded into L1(0, 1). We provide an explicit form of a such an imbedding. The proof is elementary and self-contained.
Publication Title
American Mathematical Monthly
Recommended Citation
Pinelis, I.
(2016).
Explicit additive decomposition of norms on ℝ 2 .
American Mathematical Monthly,
123(5), 491-496.
http://doi.org/10.4169/amer.math.monthly.123.5.491
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/14240
